\centering
\begin{tabular}[t]{lcc}
\toprule
\multicolumn{1}{c}{ } & \multicolumn{2}{c}{Chose trans in private outcome round (=1)} \\
\cmidrule(l{3pt}r{3pt}){2-3}
\multicolumn{1}{c}{ } & \multicolumn{2}{c}{Phases 1 + 2} \\
\cmidrule(l{3pt}r{3pt}){2-3}
  & (1) & (2)\\
\midrule
Rights messaging video & \num{0.044}** & \num{0.049}**\\
 & (\num{2.0e-02}) [\num{0.028}] & (\num{2.0e-02}) [\num{0.016}]\\
Legal rights video & \num{0.081}*** & \num{0.079}***\\
 & (\num{1.9e-02}) [\num{<0.001}] & (\num{2.0e-02}) [\num{<0.001}]\\
Correctly guessed purpose (after main outcome) & \num{0.049} & \\
 & (\num{1.2e-01}) [\num{0.678}] & \\
Rights messaging video $\times$ Correctly guessed purpose (after main outcome) & \num{-0.021} & \\
 & (\num{6.5e-02}) [\num{0.742}] & \\
Legal rights video $\times$ Correctly guessed purpose (after main outcome) & \num{-0.072} & \\
 & (\num{6.3e-02}) [\num{0.255}] & \\
Correctly guessed purpose (end of experiment) &  & \num{0.031}\\
 &  & (\num{4.5e-02}) [\num{0.500}]\\
Rights messaging video $\times$ Correctly guessed purpose (end of experiment) &  & \num{-0.047}\\
 &  & (\num{5.4e-02}) [\num{0.386}]\\
Legal rights video $\times$ Correctly guessed purpose (end of experiment) &  & \num{-0.040}\\
 &  & (\num{5.4e-02}) [\num{0.462}]\\
\midrule
Num. observations & \num{6794} & \num{6794}\\
Num. participants & \num{3397} & \num{3397}\\
Num. groups & \num{1134} & \num{1134}\\
Controls & X & X\\
\bottomrule

\end{tabular}

